Abstract: In order to further explore important scientific issues such as spontaneous breaking of chiral symmetry in the A~80 mass region, the nuclear physics group of Shandong University at Weihai has studied excited states of nuclei in this region by in-beam gamma spectroscopy techniques. The level schemes of these nuclei were expanded. The symmetry, shape, and motion mode of these nuclei were systematically studied with respect to experiments and theories. According to experimental results, several chiral candidates including odd-odd and odd-A nuclei were found in the A~80 mass region, and chirality in the ⁸⁰Br nuclei was confirmed by the lifetime measurements. In addition, the present work also discussed the evolution of chiral geometry and octupole correlations with increasing neutrons, and the systematic features of neutron-core excitations in near-spherical nuclei in the A~80 mass region.